Parallel computing for option pricing based on the backward stochastic differential equation

  • Authors:
  • Ying Peng;Bin Gong;Hui Liu;Yanxin Zhang

  • Affiliations:
  • School of Computer Science and Technology, Shandong University, Jinan, P.R. China;School of Computer Science and Technology, Shandong University, Jinan, P.R. China;School of Computer Science and Technology, Shandong University, Jinan, P.R. China;School of Computer Science and Technology, Shandong University, Jinan, P.R. China

  • Venue:
  • HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
  • Year:
  • 2009

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Abstract

The Backward Stochastic Differential Equation (BSDE) is a robust tool for financial derivatives pricing and risk management. In this paper, we explore the opportunity for parallel computing with BSDEs in financial engineering. A binomial tree based numerical method for BSDEs is investigated and applied to option pricing. According to the special structure of the numerical model, we develop a block allocation algorithm in parallelization, where large communication overhead is avoided. Runtime experiments manifest optimistic speedups for the parallel implementation.